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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
Authors:
Coron, Jean-Michel
;
Xiang, Shengquan
;
Zhang, Ping
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Submit date:2023/02/07
Semiclassical Schr?dinger equation
Quantum density
Quantum momentum
Controllability
Semiclassical limit
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
Authors:
Zhao, Zhongliu
;
Zhang, Wensheng
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View/Download:54/0
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Submit date:2023/02/07
Inverse problem
Semi-discrete Schr?dinger equation
Discrete Carleman estimate
Convergence
Stability
Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data
期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 6, 页码: 977-998
Authors:
Guo, Boling
;
Huo, Zhaohui
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Submit date:2023/02/07
Well-posedness
Derivative Schrodinger equation in higher dimension
Short-time X-s,X-b
Large initial data
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations
期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
Authors:
Song, Jin
;
Zhou, Zijian
;
Dong, Huanhe
;
Yan, Zhenya
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Submit date:2023/02/07
Generalized nonlinear Schr?dinger equation
PT-symmetric potentials
Stable solitons and peakons
Quantum information entropy
Soliton interactions and adiabatic
excitations
Quasilinear Schrodinger equations with bounded coefficients
期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 10, 页码: 4939-4985
Authors:
Jing, Yongtao
;
Liu, Haidong
;
Zhang, Zhitao
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Submit date:2023/02/07
quasilinear Schrodinger equation
variational method
multiple solutions
sign-changing solutions
Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
Authors:
Zhou, Zijian
;
Song, Jin
;
Weng, Weifang
;
Yan, Zhenya
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Submit date:2023/02/07
Logarithmic nonlinear Schrodinger
equation
PT-symmetric potentials
Stable solitons
Interactions
Excitations
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
Authors:
Cao, Daomin
;
Feng, Binhua
;
Luo, Tingjian
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Submit date:2023/02/07
XFEL Schr?dinger equation
nonlinear elliptic equations
normalized solutions
orbital stability
strong instability
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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Submit date:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
Authors:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
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Submit date:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
Authors:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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Submit date:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula